Question

find the coordinate of the midpoint of the segment with the given endpoints. 2 and 6 the midpoint is (simplify your answer.)

Explanation:

Step1: Recall midpoint formula

For two numbers \(a\) and \(b\), the midpoint \(M\) is given by \(M=\frac{a + b}{2}\). Here, \(a = 2\) and \(b=6\).

Step2: Substitute values into formula

Substitute \(a = 2\) and \(b = 6\) into the formula: \(M=\frac{2+6}{2}\).

Step3: Simplify the expression

First, calculate the numerator: \(2 + 6=8\). Then, divide by 2: \(\frac{8}{2}=4\).

Answer:

4